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Finding the Fourth Proportional to 473.06, 706.40 and 386.56

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Solution

The fourth proportional to 473.06, 706.40 and 386.56 is: 577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 706.40 = 386.56 : x
  2. Step 2: Convert to fraction form
    473.06/706.40 = 386.56/x
  3. Step 3: Cross multiply
    473.06x = 706.40 × 386.56
  4. Step 4: Simplify right side
    473.06x = 273,065.98
  5. Step 5: Solve for x
    x = 273,065.98/473.06
  6. Step 6: Final answer
    x = 577.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.